35145243225152 has 112 divisors (see below), whose sum is σ = 73754825539584. Its totient is φ = 16589214720000.

The previous prime is 35145243225149. The next prime is 35145243225179. The reversal of 35145243225152 is 25152234254153.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060139777 + ... + 1060172927.

It is an arithmetic number, because the mean of its divisors is an integer number (658525228032).

Almost surely, 2^{35145243225152} is an apocalyptic number.

35145243225152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35145243225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36877412769792).

35145243225152 is an abundant number, since it is smaller than the sum of its proper divisors (38609582314432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35145243225152 is a wasteful number, since it uses less digits than its factorization.

35145243225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46268 (or 46258 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 35145243225152 in words is "thirty-five trillion, one hundred forty-five billion, two hundred forty-three million, two hundred twenty-five thousand, one hundred fifty-two".